All of the triangles below have a base to height ratio of 5:2. Label the missing dimensions

In order to solve the expression:

We operate inn such a manner that x is left alone, that is:

We have our expression 9 - 2x = 35.

In order to solve for x, we try and leave x alone, that is, we sustract 9 from both sides of the operation:

9 - 9 - 2x = 35 -9 => -2x =26

Now that we have this, we proceed to eliminate -2 from the side of x, for that we divide both sides by -2, that is:

(-2/-2)x=(26/-2) => x = -13

The heighth of the cylinder if the surface area is 942 square feet is 25 feet.

From the information given, the S = 2π(25) + 2π(5h). We are to find the heighth of the cylinder if the surface area is 942 square feet.

This will be:

S = 2π(25) + 2π(5h).

2π(25) + 2π(5h) = 942

50π + 10πh = 942

(50 × 3.14) + (10 × 3.14 × h) = 942

157 + 31.4h = 942

Collect like terms

31.4h = 942 - 157

31.4h = 785

h = 785/31.4

h = 25

The height of the cylinder is 25 feet

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Invasive weed grows at a rate of 0.0011 ft per minute a day

In the above question, it is given as

Invasive weed grows really fast and the rate of its growth is being provided as follows

The rate at which the weed is growing a day is = 1.65 ft

We need to find the, rate at which this weed is growing per minute

So, to do this, we'll find the growth in 1 min

In 24 hours growth is = 1.65 ft

Conversion factors

We know, 1 hour = 60 minutes

In 1 min growth is = [tex]\frac{1.65}{24 . 60}[/tex]

Here, we have multiplied with 60 in the denominator to convert hours into minutes  

After solving the fraction we'll get

Growth in 1 min of the weed = 0.0011 ft

Hence, Invasive weed grows at a rate of 0.0011 ft per minute a day

To learn more about minute here

brainly.com/question/15600126

#SPJ1

Given

height of cone = 4cm

Base radius of cone = 3cm

Find

TSA of cone

Explanation

We know that TSA of cone is

Final Answer

Answer:

The right option is 1) 27

Explanation:

According to the given data we have the following:

K is the midpoint of JL.

JK = 6x + 9

KL = 5x + 12

K is the midpoint of JL, hence, JL=JK+KL

So, to find JK we would equal JK with KL

So, 6x + 9=5x + 12

6x-5x=12-9

x=3

Therefore, JK=6(3)+9

JK=18+9

JK=27

Therefore, the right option is 1) 27

Taking into account the definition of a system of linear equations, the system of equations that represents the total amount of money you spent on hotdogs and hotdog buns at each store is

10x + 8y= 80

11x + 7.50y= 81.50

A system of linear equations is a set of linear equations that have more than one unknown, appear in several but not necessarily all of the equations, and are related by the equations.

In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

10x + 8y= 80

11x + 7.50y= 81.50

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/28931979

brainly.com/question/12818132

#SPJ1

Using it's concept, the probabilities are given as follows:

b) P(B|C) = 0.1429.

c) P(not A|B) = 0.8.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item b, the conditional probability can be written as follows:

P(B|C) = P(B and C)/P(C).

From the diagram, we have that:

Hence:

P(B|C) = 0.05/0.35 = 0.1429.

For item c, the conditional probability is:

P(not A|B) = P(not A and B)/P(B).

From the diagram, these probabilities are:

Hence:

P(not A|B) = 0.20/0.25 = 0.8.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

The rate of the given amount 0.001744%

What is Simple Interest?

Simple interest is a quick and easy way to calculate interest on a loan. Simple interest is the daily interest rate multiplied by the principal multiplied by the number of days until the next payment.

Given,

Principal = $5000

Interest = $157

Time = 18years

The formula for simple interest:

I = P x R x T

157 = 5000 x R x 18

R = 157 / 5000 x 18

R =0.001744%

Hence, the annual rate of interest is 0.001744%

To learn more about Simple interest click on the link

https://brainly.com/question/2294792

#SPJ13

Given

The function,

To find:

The maximum or minimum value of the function, and where does it occur.

Explanation:

It is given that,

That implies,

Set g(x)=y.

Then,

Here, a=1>0.

Then, the parabola opens up.

And, k is the minimum functional value, it occurs when x = h.

Therefore,

1) g(x) has a minimum value.

2) g(x)'s minimum value is -4.

3) And it occurs at x = -2.

Step 1:

Sum the numbers

Step 2:

Express the number in Hundreds, Tens, and Ones

3 has a value of 300

6 has a value of 60

1 has a value of 1

Therefore, to express 361 in hundreds, tens and ones

(a)

Graphing the function from x = 0 to x = 10:

b)

Evaluate the function for x = 5

Answer:

$2901.41

c)

Let's solve the following inequality:

so:

Approximately after 8.2 years.

d)

Let's solve the previous equation in order to find the rate y:

The depreciation rate is approximately:

It depreciates 22% per year

y=4x equation represents a proportional relationship between x and y.

Form the question

Only B doesn't have constant

y=4x

x=y/4

So option 2 is correct.

The formula y=kx y = k x can be used to describe a proportional relationship, where k is the constant ratio.

y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, diagrams, and equations can all be used to depict proportional relationships.

The graph of a straight line through the origin with a slope equal to the unit rate can be used to depict a relationship where two quantities are related proportionally. is equal to k, where k is the unit rate, for each point (x, y) on the graph.

To learn more about equation visit:https://brainly.com/question/10413253

#SPJ1

The Domain of the linear function with no restriction is  (-∞,∞)

A linear function is of the form  f(x)  = ax+ b, where a and b are constants , x is independent variable and the graph of such function is a straight line.

Domain of f is the set of all values of x for which function f is defined.

Given that the linear function has no restrictions , means the values of the function can be from anywhere of real line.

-∞  < f(x) < ∞

⇒ -∞  < ax+ b < ∞    , where a≠0

⇒  -∞- b  < ax+ b-b  < ∞ -b

⇒  -∞  < ax < ∞      ( adding or subtracting anything from infinity does not  

                                  make any difference)

⇒ -∞  < x < ∞  

Thus the domain of the linear function which has no restriction is (-∞,∞)

Also, Learn more about the functions from the link below:

https://brainly.com/question/12431044

#SPJ1

Answer:

There is a chance it could happen. Rare occurrence though.

Step-by-step explanation:

Answer:

the y intercept is -3. it is -3 because it goes through the point (0,-3)

If we mutiply a positive number with a positive or negative sign we get the answer as number with sign.

If we mutiply a negative number with sign the answer will be,

Thus, if we mutiply a negative to a positive number the sign gets reversed.

ANSWER

C. 6x - 16y = -10

EXPLANATION

An equation or a pair of equations has infinite solutions when all numbers are solutions of the equation(s).

The left and right hand side of the equation(s) are the same.

So, we have to look for the equation such that the case happens.

To do that, we have to simply look for an equation that is identical to the given equation:

3x - 8y = -5

By observing keenly, we see that the identical one is:

6x - 16y = -10

Divide both sides by 2, we have that:

3x - 8y = -5

Let us try to solve these equations:

3x - 8y = -5

3x - 8y = -5

Subtract the second from the first:

3x - 8y = -5

- (3x - 8y = -5)

0 + 0 = 0

=> 0 = 0

We see that both sides are identical.

So, the answer is option C.

Let's rewrite it the first one

When we apply, log on both sides. We have the logarithm of a power equal to its exponent that is why we have y on the left side.

Rewriting the second one:

Since the Natural Logarithm is log in the base "e" we can say that x is equal to e raised to 9

When pH is 2, the hydrogen ion concentration in [tex]litre^{-1}[/tex] is [tex]10^{-2}[/tex]

The pH value of water indicates how acidic or basic it is. The negative log of the hydrogen ion concentration is defined as pH. The pH scale starts from 0 and ends at 14. A pH of 7 is considered neutral because pure water has a pH of exactly 7. Acidic values are less than 7; basic or alkaline values are greater than 7.

Given that,

pH = 2 for HCl acid

We know that,

The relation between concentration of acid and pH is,

pH = -log[[tex]H^{+}[/tex]]

2 = -log[[tex]H^{+}[/tex]]

[tex][H^{+} ][/tex]  = [tex]10^{-2}[/tex]

Hence, the hydrogen ion concentration in a solution with a pH of 2 is [tex]10^{-2}[/tex].

To know more about pH, visit:

https://brainly.com/question/13904710

#SPJ13

Answer:

Step-by-step explanation:

if they are working 7 days a week, lunch will cost $2,275

hope this helped :)

Answer

Amount invested at 6% interest = 17,000

Explanation

The simple interest on an invested principal (P), at a rate, R, for a period of time, T, is given by

Simple Interest = (PRT/100)

Let the amount invested at 6% be x

Let the amount invested at 7% be y

Sum of these amounts is $41,000

x + y = 41000

Simple Interest on x for 1 year

SI = (x × 6 × 1/100) = 0.06x

Simple interest on y for 1 year

SI = (y × 7 × 1/10) = 0.07y

Sum of annual interest = $2,700

0.06x + 0.07y = 2700

Now, we have a simultaneous equation

x + y = 41000

0.06x + 0.07y = 2700

Solving this simultaneously,

x = 17,000

y = 24,000

Hope this Helps!!!

An equation is a collection of variables and constants. The value of p for the given equation p + 7 = −15 is p = -22 so option (A) is correct.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

p + 7 = -15

Subtract both sides by 7

p + 7 - 7 = -15 - 7

p + 0 = -22

p = -22

Hence "An equation is a collection of variables and constants. The value of p for the given equation p + 7 = −15 is p = -22 so option (A) is correct".

For more about the equation,

brainly.com/question/10413253

#SPJ1

We have the next information

Let X be the number of customer purchased coffee

Let Y be the number of customer pwho urchased donuts

X∩Y Then is the number of customers who purchased both coffee and donuts

X∪Y is the number of customers who purchased both coffee or donuts

The number of customers who purchase only coffee is

48 customers purchased only coffee

The number of customers who purchase only donuts is

22 customers purchased only donuts

In order to know how many customers did not purchase either of these items

First we will calculate the customers that purchase something

then we know that the total number of customers is 110

21 customers did not purchase either of these items

We have to find the length of AR.

It will be the same as the length of AS, as they are both radius of the circle:

AS is the hypotenuse of a right triangle with legs AT and TS.

Also, TS has half the length of SQ, so we have:

We then can calculate AS as:

Answer: AR = 10

SOLUTIONS

The parallel line will be of form

the equation of the line that passes through the point (1/7,1) and is parallel to the line −4y−3x=−3

The equation of the line parallel to point(1/7 , 1)

Answer:

4x_7+x=6 4x_x=7+6 3x=13 x=13÷3

The value of given quadratic equation at -7 is 247.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

given ,f(x) = [tex]4x^{2} -8x-5[/tex] to find f(-7)

f(-7)= 4(49)-8(-7)-5

=196+56-5

=247

To know more about quadratic equation, visit:

https://brainly.ph/question/2061387

#SPJ9

All of them would be the answer.

The left side and right side of every equation should be equal. It is essential that both parties are on an even playing field. An equation must contain the following elements: coefficients, variables, operators, constants, terms, expressions, and an equals sign. Any one, some, or all of these terms may circle the equal sign in an equation.

Rule of Thumb for Equation Solving:

Here, we will put the values of x and y coordinates in the equations:

5=3+2

6=4+2

7=5+2  

8=6+2

Hence, the right and left side of the equation is equal.

Thus, all of them are correct answers. It would just be all of them.

To learn more about equation, refer to:

https://brainly.com/question/2972832

#SPJ13

we know that

YZ=RV+VQ ----> by addition segments postulate

substitute given values

30=RV+15

so

RV=30-15=15 ft

that means

Point V is the midpoint of the segment RQ

triangle RPQ is an isosceles triangle

mFind out the value of angle x

tan(x)=4/15 ------> by TOA

x=tan^-1(4/15)

x=14.93 degrees

The angle x is not between 18 - 27

therefore

The equation has no solution.

How to find the solution of the given equation?

-r + 23 = -7r +  3(2r + 8)

Applying distributive property A(B+C) = AB+AC

⇒  -r + 23 = -7r + 6r + 24

Combining like terms,

⇒  7r - 6r -r = 24 - 23

⇒  7r - 7 r = 1

⇒  0 = 1

L.H.S ≠ R.H.S

Since the two sides are unequal , there is no solution.

What is the distributive property ?

To learn more about distributive property, refer:

https://brainly.com/question/2807928

#SPJ13